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高中数学参数方程的教学研究

发布时间:2018-05-08 06:00

  本文选题:参数方程 + 新课程 ; 参考:《信阳师范学院》2015年硕士论文


【摘要】:参数方程是解决实际问题的重要的数学模型,还是大学高等数学等学科的基础,在高中数学的教学中具有不可替代的作用。高中数学新课程标准实施以来,社会各界对参数方程教学的认识不尽统一,教师对参数方程的教学不够重视,学生对参数方程的学习流于形式,导致参数方程教学现状不容乐观。 本文通过对参数方程相关文献进行研究,明确了高中数学参数方程教学的重要意义和理论价值:在此基础上,对新课程标准对参数方程的教学要求、河南省对参数方程的教学要求,以及高考对参数方程的考查要求,进行了系统研究;通过对高中师生进行问卷调查和分析,研究了参数方程教学现状;最后,结合上述理论研究和实证研究结果,建构了相应的教学设计案例,并对加强参数方程教学提出了建议。 研究发现,高中数学参数方程的教学没有得到学校足够的重视,教学活动乏味,教学手段单一,学生学习兴趣不高,学习效果也不佳。对此,本研究建议,希望参数方程的教学能够引起学校的重视,教师要督促学校合理安排课程时间和课时数量,紧密联系学生的生活情境,激发学生的兴趣,同时丰富教学手段,注重思想方法的渗透,帮助学生正确认识参数方程的作用,不断培养学生的知识迁移能力。
[Abstract]:Parameter equation is an important mathematical model to solve practical problems, and it is also the basis of higher mathematics and other subjects. It plays an irreplaceable role in the teaching of mathematics in senior high school. Since the implementation of the new curriculum standard of high school mathematics, the understanding of parameter equation teaching has not been unified, the teachers have not paid enough attention to the parameter equation teaching, and the students' study of parameter equation has become a mere formality. As a result, the status quo of parameter equation teaching is not optimistic. In this paper, the important significance and theoretical value of parameter equation teaching in senior high school mathematics are clarified by studying the relevant literature on parameter equation. On the basis of this, the teaching requirements of parameter equation in the new curriculum standard are discussed. The teaching requirements of parameter equations in Henan Province and the examination requirements of parameter equations in college entrance examination are systematically studied. Through the questionnaire survey and analysis of senior high school teachers and students, the current situation of parameter equation teaching is studied. Based on the above theoretical and empirical results, the corresponding teaching design cases are constructed, and some suggestions are put forward to strengthen the teaching of parameter equations. It is found that the teaching of mathematical parameter equation in senior high school is not paid enough attention to, the teaching activity is boring, the teaching method is single, the students' interest in learning is not high, and the learning effect is not good. In view of this, this study suggests that the teaching of parameter equation can arouse the attention of the school, and teachers should urge the school to arrange the course time and the amount of class hours reasonably, closely relate to the students' living situation, and stimulate the students' interest. At the same time, it enriches teaching means, pays attention to the infiltration of thought methods, helps students to understand the function of parameter equation correctly, and develops students' ability of knowledge transfer.
【学位授予单位】:信阳师范学院
【学位级别】:硕士
【学位授予年份】:2015
【分类号】:G633.6

【参考文献】

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